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How many values of x with 0 degrees <= x <= 2500 degrees  satisfy sin x = -0.31?

 Dec 2, 2020
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sin x  = -0.31

x  ≈  -18  

First angle =  180 + 18 ≈  198°

Second angle  = 360 - 18 = 342°

 

Nunber of  full  rotations in 2500° =  2500/360  ≈  6.94

 

(.94)  * 360  ≈   339°

 

So  there  will  be   6(2)  + 1  = 13  values of   x  that satisfy sin x = -.031

 

 

cool cool cool

 Dec 2, 2020

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